{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "Chapter 11\n",
    "# 绘制箭头图\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "outputs": [],
   "source": [
    "# 导入包\n",
    "import matplotlib.pyplot as plt"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-10T14:51:01.842624Z",
     "end_time": "2024-07-10T14:51:02.485345Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "outputs": [],
   "source": [
    "# 定义二维列表\n",
    "A = [[0, 5],\n",
    "     [3, 4],\n",
    "     [5, 0]]"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-10T14:51:05.694834Z",
     "end_time": "2024-07-10T14:51:05.702832Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "outputs": [],
   "source": [
    "# 自定义可视化函数\n",
    "def draw_vector(vector, RGB):\n",
    "    plt.quiver(0, 0, vector[0], vector[1], angles='xy',\n",
    "               scale_units='xy', scale=1, color=RGB,\n",
    "               zorder=1e5)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-10T14:51:14.614356Z",
     "end_time": "2024-07-10T14:51:14.623361Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "v1 = A[0]  # 第一行向量\n",
    "draw_vector(v1, '#FFC000')\n",
    "v2 = A[1]  # 第二行向量\n",
    "draw_vector(v2, '#00CC00')\n",
    "v3 = A[2]  # 第三行向量\n",
    "draw_vector(v3, '#33A8FF')\n",
    "\n",
    "ax.axvline(x=0, c='k')\n",
    "ax.axhline(y=0, c='k')\n",
    "ax.set_xlabel('x1')\n",
    "ax.set_ylabel('x2')\n",
    "ax.grid()\n",
    "ax.set_aspect('equal', adjustable='box')\n",
    "ax.set_xbound(lower=-0.5, upper=5)\n",
    "ax.set_ybound(lower=-0.5, upper=5)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-10T14:51:50.801800Z",
     "end_time": "2024-07-10T14:51:50.962055Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "outputs": [],
   "source": [
    "# 自定义可视化函数\n",
    "def draw_vector_3D(vector, RGB):\n",
    "    plt.quiver(0, 0, 0, vector[0], vector[1], vector[2],\n",
    "               arrow_length_ratio=0, color=RGB,\n",
    "               zorder=1e5)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-10T14:53:27.354451Z",
     "end_time": "2024-07-10T14:53:27.362451Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 600x600 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(6, 6))\n",
    "ax = fig.add_subplot(111, projection='3d', proj_type='ortho')\n",
    "# 第一列向量\n",
    "v_1 = [row[0] for row in A]\n",
    "draw_vector_3D(v_1, '#FF6600')\n",
    "# 第二列向量\n",
    "v_2 = [row[1] for row in A]\n",
    "draw_vector_3D(v_2, '#FFBBFF')\n",
    "\n",
    "ax.set_xlim(0, 5)\n",
    "ax.set_ylim(0, 5)\n",
    "ax.set_zlim(0, 5)\n",
    "ax.set_xlabel('x1')\n",
    "ax.set_ylabel('x2')\n",
    "ax.set_zlabel('x3')\n",
    "ax.view_init(azim=30, elev=25)\n",
    "ax.set_box_aspect([1, 1, 1])"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-10T14:53:31.304950Z",
     "end_time": "2024-07-10T14:53:31.445636Z"
    }
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
